Question

The management of AB, producers of the famous hot sauce, estimate that their
profit (in RM) from the daily production and sales of x cases (each case
consisting of 24 bottles) of the hot sauce given by
𝑃(𝑥) = −0.000002𝑥
3 + 6𝑥 − 400
What is the largest possible profit AB can make in 1 day?

Answer 1

I cannot interpret P(x)
what does the 2nd line mean? Is it a rational function, or do you mean x^3 ?
If 𝑃(𝑥) = −0.000002𝑥^3 + 6𝑥 − 400
then P'(x)=0 tells you that P(x) has a maximum at (1000,3600)

Answer 2

plz I have to to send it as fast as I can